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Goldstone's Theorem and Hamiltonian of Multi-galileon Modified Gravity
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The galileon model was recently proposed to locally describe a class of modified gravity theories, including the braneworld DGP model. We discuss spontaneous symmetry breaking of the self-accelerating branch in a multi-galileon theory with internal global symmetries. We show a modified version of Goldstone's theorem is applicable to the symmetry breaking pattern and discuss its implications. We also derive the Hamiltonian of a general multi-galileon theory and discuss its implications.
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Multi-Galileons in Curved Space
A probe-brane construction yields multi-galileon theories on de Sitter space whose so(N)-breaking vacuum has Goldstone modes with vanishing kinetic terms, giving two dS vacua with different propagating degrees of freedom.
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